Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of 606 potsherds was found, of which 351 were identified as Santa Fe black-on-white. (a) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 95% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit

a) estimated proportion of  posters that were identified as Santa Fe black-on-white

b)  The confidence interval would be given by this formula

For the 95% confidence interval the value of and , with that value we can find the quantile required for the interval in the normal standard distribution.

And replacing into the confidence interval formula we got:

And the 95% confidence interval would be given (0.540;0.618).

Step-by-step explanation:

Data given and notation  

n=606 represent the random sample taken    

X=351 represent the posters that were identified as Santa Fe black-on-white

Part a

estimated proportion of  posters that were identified as Santa Fe black-on-white

represent the significance level (no given, but is assumed)    

z would represent the statistic (variable of interest)    

Part b

The confidence interval would be given by this formula

For the 95% confidence interval the value of and , with that value we can find the quantile required for the interval in the normal standard distribution.

And replacing into the confidence interval formula we got:

And the 95% confidence interval would be given (0.540;0.618).

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

the answer is c

hope this !